Effect algebras and unsharp quantum logics

Foundations of Physics 24 (10):1331-1352 (1994)
  Copy   BIBTEX

Abstract

The effects in a quantum-mechanical system form a partial algebra and a partially ordered set which is the prototypical example of the effect algebras discussed in this paper. The relationships among effect algebras and such structures as orthoalgebras and orthomodular posets are investigated, as are morphisms and group- valued measures (or charges) on effect algebras. It is proved that there is a universal group for every effect algebra, as well as a universal vector space over an arbitrary field

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,069

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Coreflections in Algebraic Quantum Logic.Bart Jacobs & Jorik Mandemaker - 2012 - Foundations of Physics 42 (7):932-958.
Type-Decomposition of an Effect Algebra.David J. Foulis & Sylvia Pulmannová - 2010 - Foundations of Physics 40 (9-10):1543-1565.
Partial and unsharp quantum logics.M. L. Dalla Chiara & R. Giuntini - 1994 - Foundations of Physics 24 (8):1161-1177.
L -effect Algebras.Wolfgang Rump & Xia Zhang - 2020 - Studia Logica 108 (4):725-750.
D-algebras.Stanley Gudder - 1996 - Foundations of Physics 26 (6):813-822.
Non-commutative logical algebras and algebraic quantales.Wolfgang Rump & Yi Chuan Yang - 2014 - Annals of Pure and Applied Logic 165 (2):759-785.
Kite Pseudo Effect Algebras.Anatolij Dvurečenskij - 2013 - Foundations of Physics 43 (11):1314-1338.
Phi-symmetric effect algebras.M. K. Bennett & D. J. Foulis - 1995 - Foundations of Physics 25 (12):1699-1722.
Effect test spaces and effect algebras.Stanley Gudder - 1997 - Foundations of Physics 27 (2):287-304.

Analytics

Added to PP
2013-11-02

Downloads
115 (#159,322)

6 months
18 (#152,517)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

NeutroAlgebra is a Generalization of Partial Algebra.Florentin Smarandache - 2020 - International Journal of Neutrosophic Science 2 (1):8-17.
Entropy - A Guide for the Perplexed.Roman Frigg & Charlotte Werndl - 2011 - In Claus Beisbart & Stephan Hartmann (eds.), Probabilities in Physics. Oxford University Press. pp. 115-142.
Quantum logic and probability theory.Alexander Wilce - 2008 - Stanford Encyclopedia of Philosophy.
L-algebras and three main non-classical logics.Wolfgang Rump - 2022 - Annals of Pure and Applied Logic 173 (7):103121.

View all 52 citations / Add more citations